231213600 has 216 divisors, whose sum is σ = 863733780. Its totient is φ = 57999360.

The previous prime is 231213571. The next prime is 231213601. The reversal of 231213600 is 6312132.

It can be written as a sum of positive squares in 6 ways, for example, as 114832656 + 116380944 = 10716^2 + 10788^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231213601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 121456 + ... + 123344.

Almost surely, 2^231213600 is an apocalyptic number.

231213600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231213600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431866890).

231213600 is an abundant number, since it is smaller than the sum of its proper divisors (632520180).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

231213600 is a wasteful number, since it uses less digits than its factorization.

231213600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1932 (or 1916 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 231213600 is about 15205.7094540176. The cubic root of 231213600 is about 613.7683062333.

Adding to 231213600 its reverse (6312132), we get a palindrome (237525732).

The spelling of 231213600 in words is "two hundred thirty-one million, two hundred thirteen thousand, six hundred".